Andre drew a plan of a courtyard at a scale of 1 to 60. On his drawing, one side of the courtyard is 2.75 inches. What is the actual measurement of that side of the courtyard. Express your answer in inches and then in feet.

Respuesta :

Answer:60*2.75=165 inches

165/12=13.75 feet

Step-by-step explanation:

Using the concept of scale, it is found that the actual measurement of that side of the courtyards is of 165 inches, that is, 13.75 feet.

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  • A scale works the same as a proportion.
  • Scale of 1 to 60 means that one inch of drawing represents 60 inches in actual measurement.

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  • The drawing is of 2.75 inches.

Applying the rule of three:

Drawing - Actual measurement

1 inch - 60 inches

2.75 inches - x inches

Applying cross multiplication:

[tex]x = 60 \times 2.75[/tex]

[tex]x = 165[/tex]

The actual measurement of that side of the courtyards is of 165 inches.

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  • Each feet has 12 inches, thus, the measurement in feet is of [tex]\frac{165}{12} = 13.75[/tex].

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